CBSE CLASS 8 Understanding Quadrilaterals Worksheet

 CBSE CLASS 8  Understanding Quadrilaterals

Introduction

A quadrilateral is a four-sided polygon with four vertices and four sides. In this chapter, we will learn about the different types of quadrilaterals, their properties, and theorems related to them.

Types of Quadrilaterals

1. Parallelogram

A parallelogram is a quadrilateral with opposite sides parallel.

- Properties:

    - Opposite sides are equal.

    - Opposite angles are equal.

    - Diagonals bisect each other.

- Examples: Rectangle, square, rhombus.

2. Rectangle

A rectangle is a parallelogram with right angles.

- Properties:

    - Opposite sides are equal.

    - Opposite angles are right angles.

    - Diagonals are equal.

- Examples: TV screen, book, door.

3. Square

A square is a rectangle with all sides equal.

- Properties:

    - All sides are equal.

    - All angles are right angles.

    - Diagonals are equal.

- Examples: Checkerboard, picture frame.

4. Rhombus

A rhombus is a parallelogram with all sides equal.

- Properties:

    - All sides are equal.

    - Opposite angles are equal.

    - Diagonals bisect each other.

- Examples: Diamond shape, kite.

5. Trapezium

A trapezium is a quadrilateral with one pair of parallel sides.

- Properties:

    - One pair of opposite sides is parallel.

    - Diagonals are not equal.

- Examples: Roof of a house, bridge.

Some Important Facts:

#The diagonals of a parallelogram bisect each other.

#The diagonals of a rectangle are equal.

#The diagonals of a square are equal.

Formulae

1. Perimeter of a Quadrilateral  = sum of all sides

2. Area of a Quadrilateral  = base × height

FAQs

1. What is a quadrilateral?

A quadrilateral is a four-sided polygon with four vertices and four sides.

2. What are the different types of quadrilaterals?

The different types of quadrilaterals are parallelogram, rectangle, square, rhombus, and trapezium.

3. What is the property of a parallelogram?

A parallelogram has opposite sides parallel, opposite angles equal, and diagonals bisect each other.

4. What is the difference between a rectangle and a square?

A rectangle has opposite sides equal and opposite angles right, while a square has all sides equal and all angles right.

5. What is the formula for the perimeter of a quadrilateral?

The formula for the perimeter of a quadrilateral is the sum of all its sides.

Practice Questions

1. Find the perimeter of a rectangle with length 8 cm and breadth 5 cm.

2. Find the area of a square with side 6 cm.

3. Find the diagonal of a rhombus with side 4 cm.

4. Find the area of a trapezium with parallel sides 6 cm and 8 cm, and height 5 cm.

Summary

In this chapter, we learned about the different types of quadrilaterals, their properties, and theorems related to them. We also learned how to find the perimeter and area of quadrilaterals using formulae.

Worksheet

https://t.me/cgscbsesupportbypramodsir/10